142305768 has 128 divisors (see below), whose sum is σ = 436233600. Its totient is φ = 42624000.

The previous prime is 142305767. The next prime is 142305769. The reversal of 142305768 is 867503241.

It is an interprime number because it is at equal distance from previous prime (142305767) and next prime (142305769).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (142305767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239680 + ... + 240272.

It is an arithmetic number, because the mean of its divisors is an integer number (3408075).

Almost surely, 2^142305768 is an apocalyptic number.

142305768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142305768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218116800).

142305768 is an abundant number, since it is smaller than the sum of its proper divisors (293927832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142305768 is a wasteful number, since it uses less digits than its factorization.

142305768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 142305768 is about 11929.1981289607. The cubic root of 142305768 is about 522.0845417305.

The spelling of 142305768 in words is "one hundred forty-two million, three hundred five thousand, seven hundred sixty-eight".